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This paper discusses the stability analysis of linear parameter varying systems with a parameter-dependent delay where the parameters are assumed to be stochastic piecewise constants under spontaneous Poissonian jumps. Based on stochastic…

系统与控制 · 电气工程与系统科学 2021-02-10 Muhammad Zakwan

Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV systems for which no tailored stability analysis and stabilization conditions have been obtained so far. We fill this gap…

最优化与控制 · 数学 2020-12-07 Corentin Briat

Linear Parameter-Varying (LPV) systems with piecewise differentiable parameters is a class of LPV systems for which no proper analysis conditions have been obtained so far. To fill this gap, we propose an approach based on the theory of…

最优化与控制 · 数学 2017-03-14 Corentin Briat , Mustafa Khammash

Dwell-time based stability conditions for a class of LPV systems with piecewise constant parameters under time-varying delay are derived using clock-dependent Lyapunov-Krasovskii functional. Sufficient synthesis conditions for…

系统与控制 · 电气工程与系统科学 2020-03-11 Muhammad Zakwan , Saeed Ahmed

In this paper, we propose a novel dynamic state-feedback controller for polytopic linear parameter-varying (LPV) systems with constant input matrix. The controller employs a projected gradient flow method to continuously improve its control…

系统与控制 · 电气工程与系统科学 2025-05-29 Armin Gießler , Felix Strehle , Jochen Illerhaus , Sören Hohmann

In this work, we propose novel LMI-based controller synthesis frameworks for periodically time-varying Markov-jump linear systems. We first discuss the necessary conditions for mean square stability and derive Lyapunov-like conditions for…

最优化与控制 · 数学 2024-09-19 Shaurya Shrivastava , Kenshiro Oguri

This paper deals with the problems of stochastic stability and sliding mode control for a class of continuous-time Markovian jump systems with mode-dependent time-varying delays and partly unknown transition probabilities. The design method…

系统与控制 · 计算机科学 2018-04-26 Nasibeh Zohrabi , Hasan Zakeri , Amir Hossein Abolmasoumi , Hamid Reza Momeni

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

系统与控制 · 计算机科学 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

Many physical systems are inherently time-varying in nature. When these systems are linearized around a trajectory, generally, the resulting system is Linear Time-Varying (LTV). LTV systems describe an important class of linear systems and…

系统与控制 · 电气工程与系统科学 2023-09-25 Shahzad Ahmed , Hafiz Zeeshan Iqbal Khan , Jamshed Riaz

In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of the system. This…

系统与控制 · 电气工程与系统科学 2023-08-17 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth

This paper deals with the robust stability analysis of linear systems, subject to time-varying parameters. The Parameter Dependent Lyapunov Function are considered, assuming that the temporal derivative of the parameters are bounded. Some…

最优化与控制 · 数学 2025-06-16 L. A. Mozelli , R. L. S. Adriano

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

系统与控制 · 电气工程与系统科学 2026-01-06 Sourav Sinha , Mazen Farhood

This paper presents novel stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. We distinguish and study two particular settings: i) the \emph{robust} case, in which the…

最优化与控制 · 数学 2023-06-21 Matteo Della Rossa , Thiago Alves Lima , Marc Jungers , Raphaël M. Jungers

Linear parameter-varying (LPV) systems with uncertainty in time-varying delays are subject to performance degradation and instability. In this line, we investigate the stability of such systems invoking an input-output stability approach.…

系统与控制 · 电气工程与系统科学 2020-04-10 Shahin Tasoujian , Saeed Salavati , Karolos Grigoriadis , Matthew Franchek

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

最优化与控制 · 数学 2010-09-08 Debasish Chatterjee , Daniel Liberzon

This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary…

系统与控制 · 电气工程与系统科学 2020-05-13 Márcio J. Lacerda , Cristiano M. Agulhari

This paper considers the problem of robust stability and stabilization for linear fractional-order system with nonlinear uncertain parameters, with fractional order 0<a<2. A dynamic output feedback controller, with predetermined order, for…

最优化与控制 · 数学 2021-06-25 Pouya Badri , Mahdi Sojoodi , Elyar Zavvari

In this paper, we study a class of stochastic optimal control problem with jumps under partial information. More precisely, the controlled systems are described by a fully coupled nonlinear multi- dimensional forward-backward stochastic…

最优化与控制 · 数学 2009-11-18 Qingxin Meng

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

最优化与控制 · 数学 2013-11-15 Corentin Briat

Impulsive systems are a very flexible class of systems that can be used to represent switched and sampled-data systems. We propose to extend here the previously obtained results on deterministic impulsive systems to the stochastic setting.…

最优化与控制 · 数学 2016-08-02 Corentin Briat
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